729193920 has 448 divisors, whose sum is σ = 3023225856. Its totient is φ = 144506880.

The previous prime is 729193867. The next prime is 729193943. The reversal of 729193920 is 29391927.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1484875 + ... + 1485365.

It is an arithmetic number, because the mean of its divisors is an integer number (6748272).

Almost surely, 2^729193920 is an apocalyptic number.

729193920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 729193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511612928).

729193920 is an abundant number, since it is smaller than the sum of its proper divisors (2294031936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729193920 is a wasteful number, since it uses less digits than its factorization.

729193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 729193920 is about 27003.5908723266. The cubic root of 729193920 is about 900.0797953941.

The spelling of 729193920 in words is "seven hundred twenty-nine million, one hundred ninety-three thousand, nine hundred twenty".